Quiz

Quiz: Solving Quadratic Equations by Completing the Square

AQA GCSE Mathematics (8300)

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11 Steps9 Questions

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Steps in this lesson (11)

1
Text

Building on what you've learned about quadratic equations, let's test your knowledge of solving them using the completing the square method!

2
Multiple ChoiceInteractive

What is the first step in completing the square for the equation x² + 6x + 5 = 0?

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3
Multi-SelectInteractive

Which of the following are true about completing the square? (Select all that apply)

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4
Fill in the BlankInteractive

To complete the square for x² + 8x + 16, write it as (x + {{blank0}})².

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5
MatchingInteractive

Match the items on the left with their correct pairs on the right

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6
Math EquationInteractive

Solve the equation x² + 4x - 5 = 0 by completing the square.

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7
Fill in the BlankInteractive

For the equation x² + 2x - 3 = 0, the constant added to complete the square is {{blank0}}.

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8
Math EquationInteractive

Solve x² + 6x + 8 = 0 by completing the square.

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9
Multiple ChoiceInteractive

Why is completing the square useful for solving quadratic equations?

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10
typedAnswer

Match the items on the left with their correct pairs on the right

11
Multi-SelectInteractive

Which steps are part of completing the square? (Select all that apply)

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